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Finding the Fourth Proportional to 566.71, 782.03 and 330.66

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Solution

The fourth proportional to 566.71, 782.03 and 330.66 is: 456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.71 : 782.03 = 330.66 : x
  2. Step 2: Convert to fraction form
    566.71/782.03 = 330.66/x
  3. Step 3: Cross multiply
    566.71x = 782.03 × 330.66
  4. Step 4: Simplify right side
    566.71x = 258,586.87
  5. Step 5: Solve for x
    x = 258,586.87/566.71
  6. Step 6: Final answer
    x = 456.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.